Download PDFOpen PDF in browserNonlocal Adaptive Biharmonic Regularizer for Image RestorationEasyChair Preprint no. 437912 pages•Date: October 12, 2020AbstractIn this paper, we propose a nonlocal adaptive biharmonic regularization term for image denoising and restoration, combining the advantages of fourth order models (without staircase effects and preserving slops) and nonlocal methods (preserving textures). For its numerical solution, we employ $L^2$ gradient descent and finite difference schemes and design explicit, semi-implicit, and implicit schemes. Numerical results for denoising and restoration are shown on synthetic images, real images, and texture images. Keyphrases: fourth order, image restoration, local fourth order model, noise removal, Nonlocal Laplace operator, Nonlocal Method, staircase effect, texture image
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